42117 has 8 divisors (see below), whose sum is σ = 57120. Its totient is φ = 27600.

The previous prime is 42101. The next prime is 42131. The reversal of 42117 is 71124.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42117 - 2⁴ = 42101 is a prime.

42117 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 42096 and 42105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234 + ... + 372.

It is an arithmetic number, because the mean of its divisors is an integer number (7140).

2⁴²¹¹⁷ is an apocalyptic number.

It is an amenable number.

42117 is a deficient number, since it is larger than the sum of its proper divisors (15003).

42117 is a wasteful number, since it uses less digits than its factorization.

42117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243.

The product of its digits is 56, while the sum is 15.

The square root of 42117 is about 205.2242675709. The cubic root of 42117 is about 34.7925139136.

The spelling of 42117 in words is "forty-two thousand, one hundred seventeen", and thus it is an iban number.